Home
Class 12
MATHS
Let f: Rvec\ be defined as f(x)=10 x+7....

Let `f: Rvec\ ` be defined as `f(x)=10 x+7.` Find the function `g: RvecR` such that `gof=fog=I_Rdot`

Text Solution

Verified by Experts

The correct Answer is:
`g(x) = (1)/(10) (x-7)`
`g(y) = (1)/(10) (y-7)`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS & FUNCTIONS

    OSWAAL PUBLICATION|Exercise BINARY OPERATIONS|2 Videos

  • RELATIONS & FUNCTIONS

    OSWAAL PUBLICATION|Exercise BINARY OPERATIONS (Long Answer Type Questions )|1 Videos

  • RELATIONS & FUNCTIONS

    OSWAAL PUBLICATION|Exercise COMPOSITE FUNCTIONS (Short Answer Type Question-I)|1 Videos

  • PROBABILITY

    OSWAAL PUBLICATION|Exercise Random Variable and Its Probability Distribution ( Long Answer Type Questions -I )|14 Videos

  • SOLVED PAPER MARCH - 2018

    OSWAAL PUBLICATION|Exercise PART - E|3 Videos

Similar Questions

Explore conceptually related problems

Let f : R to R be defined as f (x) =10 x +7. Find the function g : R to R such that g o f =f o g= I _(R).

Let f: R to R be defined by f(x) = x^(4) , then

Let f : R to R be defined by f(x)=x^(4) , then

If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x))dot

Let the function f: RtoR be defined by f(x)=2x+cosx . Then f

Let function f:RtoR be defined by f(x)=2x+sinx for x inR . Then f is :

Is the function defined by f(x)= |x| , a continuous function?

If f: R rarr R be defined by , f(x) = 10x - 7 and g = f^-1 , then g(x)

A function f is defined by f(x) =2x- 5 find f( -3 )

If f: R to R defined as f(x) = (2x-7)/( 4) is an invertible function, write f^(-1) (x) .